Hi Ramiro,

I would also suggest taking a look at the publication list to understand a bit 
better what can be achieved using deal.II (and, hopefully, how to do it). Here, 
for example, is some work done in vascular biomechanics, and the publication 
list has several other references to FSI.
@phdthesis{2017_31,
  author    = {A. M. De Villiers},
  title     = {A patient-specific FSI model for vascular access in 
haemodialysis},
  school    = {University of Cape Town},
  year      = {2017},
  url       = {http://hdl.handle.net/11427/24441}
}
Although I’m absolutely not an expert on the topic, I agree with Thomas that 
Luca’s work on immersed methods might be of interest to you when it comes to 
modelling the interaction between a highly deformable structure, such as a 
valve, and the fluid that surrounds it.
Best,
Jean-Paul

> On 07 Oct 2020, at 16:42, Thomas WICK <thomas.wick.2...@gmail.com> wrote:
> 
> Hi Ramiro,
> 
> step-46 can be indeed extended to "realistic" FSI (a student of mine did it 
> some time ago; but requires a bit of work of course). 
> As alternative, my deal.II-like tutorial step can also serve the purpose 
> 
> https://media.archnumsoft.org/10305/ <https://media.archnumsoft.org/10305/>
> 
> with the code documented as a true deal.II tutorial step. The official 
> version is based on 7.0.0.
> You may find updates on my webpage
> 
> http://www.thomaswick.org/gallery_engl.html 
> <http://www.thomaswick.org/gallery_engl.html>
> 
> in case of interest.
> 
> Other than this I guess Luca Heltai has also some codes online.
> 
> Best regards,
> 
> Thomas W.
> 
> ---
> Thomas Wick
> Leibniz University Hannover
> www.thomaswick.org <http://www.thomaswick.org/>
> 
> 
> 
> Am 07.10.20 um 16:28 schrieb Ramiro James Rebolledo Cormack:
>> Hi everyone.
>> 
>> I'm looking for a solver to solve a fluid-structure problem, like a heart 
>> valve: the valve is an elastic material, and the blood could be considered 
>> as an incompressible fluid (evolutionary incompressible Navier--Stokes 
>> equations).
>> 
>> In step-46 I see a Fluid-Structure interaction implemented in dealii
>> 
>>     https://www.dealii.org/current/doxygen/deal.II/step_46.html 
>> <https://www.dealii.org/current/doxygen/deal.II/step_46.html>
>> 
>> but I'm not sure if it is appropiate to a more realistic problem.
>> 
>> I know that the first thing is to know what is the numerical method that we 
>> want implement, but I'm not sure what is the appropiated numerical method to 
>> solve this strong coupled problem.
>> 
>> My goal is to implement a model of a valve oppening and close due blood 
>> pressure (a cilindrical tube with an elastic obstacle in the middle). Do you 
>> think dealii could be an appropiate code to model this? Or is a too big 
>> problem?
>> 
>> The other possibility is to use commercial software (COMSOL or ANSIS), but 
>> due we don't know what they do to solve the problem, I could prefer to 
>> program "my own" solver, for example with dealii.
>> 
>> I suppose there must be many papers proposing algorithms for these types of 
>> coupled problems, but I have not found anyone explaining the mathematical 
>> aspects behind it. So I am very confused about how to implement this coupled 
>> problem.
>> 
>> I don't know if is too much to ask here,  if so, I apologize in advance.
>> 
>> In concrete, my questions are the following:
>> 
>> - what is the numerical algorithm to solve this coupled problem.
>> - and, is it possible to solve this with dealii? Or is a too big problem.
>> 
>> 
>> 
>> 
>> -- 
>> Ramiro
>> -- 
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> 
> -- 
> ---
> ++++--------------------------------------------++++
> Prof. Dr. Thomas Wick
> Leibniz Universität Hannover (LUH)
> Institut für Angewandte Mathematik (IfAM)
> Arbeitsgruppe Wissenschaftliches Rechnen (GWR)
> 
> Welfengarten 1
> 30167 Hannover, Germany
> 
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> www:    http://www.thomaswick.org <http://www.thomaswick.org/>
> ++++--------------------------------------------++++
> ---
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